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Finding the Fourth Proportional to 521,428, 719,570.64 and 282,964

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Solution

The fourth proportional to 521,428, 719,570.64 and 282,964 is: 390,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,428 : 719,570.64 = 282,964 : x
  2. Step 2: Convert to fraction form
    521,428/719,570.64 = 282,964/x
  3. Step 3: Cross multiply
    521,428x = 719,570.64 × 282,964
  4. Step 4: Simplify right side
    521,428x = 203,612,586,576.96
  5. Step 5: Solve for x
    x = 203,612,586,576.96/521,428
  6. Step 6: Final answer
    x = 390,490.32

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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.