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Finding the Fourth Proportional to 530,124.64, 731,573.74 and 288,407.16

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Solution

The fourth proportional to 530,124.64, 731,573.74 and 288,407.16 is: 398,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,124.64 : 731,573.74 = 288,407.16 : x
  2. Step 2: Convert to fraction form
    530,124.64/731,573.74 = 288,407.16/x
  3. Step 3: Cross multiply
    530,124.64x = 731,573.74 × 288,407.16
  4. Step 4: Simplify right side
    530,124.64x = 210,991,104,683.98
  5. Step 5: Solve for x
    x = 210,991,104,683.98/530,124.64
  6. Step 6: Final answer
    x = 398,002.83

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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.