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Finding the Fourth Proportional to 847,359, 1,270,925.28 and 314,807.40

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Solution

The fourth proportional to 847,359, 1,270,925.28 and 314,807.40 is: 472,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,359 : 1,270,925.28 = 314,807.40 : x
  2. Step 2: Convert to fraction form
    847,359/1,270,925.28 = 314,807.40/x
  3. Step 3: Cross multiply
    847,359x = 1,270,925.28 × 314,807.40
  4. Step 4: Simplify right side
    847,359x = 400,096,682,991.07
  5. Step 5: Solve for x
    x = 400,096,682,991.07/847,359
  6. Step 6: Final answer
    x = 472,169.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.