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Finding the Fourth Proportional to 588,325.76, 811,444.72 and 407,340.64

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Solution

The fourth proportional to 588,325.76, 811,444.72 and 407,340.64 is: 561,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,325.76 : 811,444.72 = 407,340.64 : x
  2. Step 2: Convert to fraction form
    588,325.76/811,444.72 = 407,340.64/x
  3. Step 3: Cross multiply
    588,325.76x = 811,444.72 × 407,340.64
  4. Step 4: Simplify right side
    588,325.76x = 330,534,411,569.42
  5. Step 5: Solve for x
    x = 330,534,411,569.42/588,325.76
  6. Step 6: Final answer
    x = 561,822.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.