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Finding the Fourth Proportional to 614,411.20, 921,616.80 and 564,644.80

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Solution

The fourth proportional to 614,411.20, 921,616.80 and 564,644.80 is: 846,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,411.20 : 921,616.80 = 564,644.80 : x
  2. Step 2: Convert to fraction form
    614,411.20/921,616.80 = 564,644.80/x
  3. Step 3: Cross multiply
    614,411.20x = 921,616.80 × 564,644.80
  4. Step 4: Simplify right side
    614,411.20x = 520,386,133,712.64
  5. Step 5: Solve for x
    x = 520,386,133,712.64/614,411.20
  6. Step 6: Final answer
    x = 846,967.20

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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.