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Finding the Fourth Proportional to 712,732.16, 983,535.54 and 390,443.96

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Solution

The fourth proportional to 712,732.16, 983,535.54 and 390,443.96 is: 538,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,732.16 : 983,535.54 = 390,443.96 : x
  2. Step 2: Convert to fraction form
    712,732.16/983,535.54 = 390,443.96/x
  3. Step 3: Cross multiply
    712,732.16x = 983,535.54 × 390,443.96
  4. Step 4: Simplify right side
    712,732.16x = 384,015,511,038.34
  5. Step 5: Solve for x
    x = 384,015,511,038.34/712,732.16
  6. Step 6: Final answer
    x = 538,793.58

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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.