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Finding the Fourth Proportional to 711,534, 1,065,590.52 and 407,005.16

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Solution

The fourth proportional to 711,534, 1,065,590.52 and 407,005.16 is: 609,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,534 : 1,065,590.52 = 407,005.16 : x
  2. Step 2: Convert to fraction form
    711,534/1,065,590.52 = 407,005.16/x
  3. Step 3: Cross multiply
    711,534x = 1,065,590.52 × 407,005.16
  4. Step 4: Simplify right side
    711,534x = 433,700,840,087.08
  5. Step 5: Solve for x
    x = 433,700,840,087.08/711,534
  6. Step 6: Final answer
    x = 609,529.33

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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.