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Finding the Fourth Proportional to 657,460.80, 986,223.60 and 342,532.80

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Solution

The fourth proportional to 657,460.80, 986,223.60 and 342,532.80 is: 513,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,460.80 : 986,223.60 = 342,532.80 : x
  2. Step 2: Convert to fraction form
    657,460.80/986,223.60 = 342,532.80/x
  3. Step 3: Cross multiply
    657,460.80x = 986,223.60 × 342,532.80
  4. Step 4: Simplify right side
    657,460.80x = 337,813,931,134.08
  5. Step 5: Solve for x
    x = 337,813,931,134.08/657,460.80
  6. Step 6: Final answer
    x = 513,816.08

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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.