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Finding the Fourth Proportional to 530,408.16, 731,978.72 and 288,706.36

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Solution

The fourth proportional to 530,408.16, 731,978.72 and 288,706.36 is: 398,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,408.16 : 731,978.72 = 288,706.36 : x
  2. Step 2: Convert to fraction form
    530,408.16/731,978.72 = 288,706.36/x
  3. Step 3: Cross multiply
    530,408.16x = 731,978.72 × 288,706.36
  4. Step 4: Simplify right side
    530,408.16x = 211,326,911,848.66
  5. Step 5: Solve for x
    x = 211,326,911,848.66/530,408.16
  6. Step 6: Final answer
    x = 398,423.19

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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.