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Finding the Fourth Proportional to 517,869.12, 714,564 and 291,466.56

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Solution

The fourth proportional to 517,869.12, 714,564 and 291,466.56 is: 402,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,869.12 : 714,564 = 291,466.56 : x
  2. Step 2: Convert to fraction form
    517,869.12/714,564 = 291,466.56/x
  3. Step 3: Cross multiply
    517,869.12x = 714,564 × 291,466.56
  4. Step 4: Simplify right side
    517,869.12x = 208,271,510,979.84
  5. Step 5: Solve for x
    x = 208,271,510,979.84/517,869.12
  6. Step 6: Final answer
    x = 402,170.17

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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.