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Finding the Fourth Proportional to 658,865.80, 986,111.70 and 478,438.30

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Solution

The fourth proportional to 658,865.80, 986,111.70 and 478,438.30 is: 716,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,865.80 : 986,111.70 = 478,438.30 : x
  2. Step 2: Convert to fraction form
    658,865.80/986,111.70 = 478,438.30/x
  3. Step 3: Cross multiply
    658,865.80x = 986,111.70 × 478,438.30
  4. Step 4: Simplify right side
    658,865.80x = 471,793,605,358.11
  5. Step 5: Solve for x
    x = 471,793,605,358.11/658,865.80
  6. Step 6: Final answer
    x = 716,069.35

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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.