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Finding the Fourth Proportional to 472,915.60, 709,459.80 and 192,461.20

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Solution

The fourth proportional to 472,915.60, 709,459.80 and 192,461.20 is: 288,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,915.60 : 709,459.80 = 192,461.20 : x
  2. Step 2: Convert to fraction form
    472,915.60/709,459.80 = 192,461.20/x
  3. Step 3: Cross multiply
    472,915.60x = 709,459.80 × 192,461.20
  4. Step 4: Simplify right side
    472,915.60x = 136,543,484,459.76
  5. Step 5: Solve for x
    x = 136,543,484,459.76/472,915.60
  6. Step 6: Final answer
    x = 288,726.96

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1.5x scale

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.