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Finding the Fourth Proportional to 1,238,868,465, 1,709,673,724.56 and 674,389,750.40

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Solution

The fourth proportional to 1,238,868,465, 1,709,673,724.56 and 674,389,750.40 is: 930,677,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,868,465 : 1,709,673,724.56 = 674,389,750.40 : x
  2. Step 2: Convert to fraction form
    1,238,868,465/1,709,673,724.56 = 674,389,750.40/x
  3. Step 3: Cross multiply
    1,238,868,465x = 1,709,673,724.56 × 674,389,750.40
  4. Step 4: Simplify right side
    1,238,868,465x = 1,152,986,436,371,456,768
  5. Step 5: Solve for x
    x = 1,152,986,436,371,456,768/1,238,868,465
  6. Step 6: Final answer
    x = 930,677,040.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.