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Finding the Fourth Proportional to 709,443.54, 977,368.59 and 494,194.14

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Solution

The fourth proportional to 709,443.54, 977,368.59 and 494,194.14 is: 680,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,443.54 : 977,368.59 = 494,194.14 : x
  2. Step 2: Convert to fraction form
    709,443.54/977,368.59 = 494,194.14/x
  3. Step 3: Cross multiply
    709,443.54x = 977,368.59 × 494,194.14
  4. Step 4: Simplify right side
    709,443.54x = 483,009,829,798.06
  5. Step 5: Solve for x
    x = 483,009,829,798.06/709,443.54
  6. Step 6: Final answer
    x = 680,829.13

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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.