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Finding the Fourth Proportional to 537,970.32, 742,149.81 and 347,045.22

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Solution

The fourth proportional to 537,970.32, 742,149.81 and 347,045.22 is: 478,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,970.32 : 742,149.81 = 347,045.22 : x
  2. Step 2: Convert to fraction form
    537,970.32/742,149.81 = 347,045.22/x
  3. Step 3: Cross multiply
    537,970.32x = 742,149.81 × 347,045.22
  4. Step 4: Simplify right side
    537,970.32x = 257,559,544,084.41
  5. Step 5: Solve for x
    x = 257,559,544,084.41/537,970.32
  6. Step 6: Final answer
    x = 478,761.62

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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.