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Finding the Fourth Proportional to 530,506.22, 732,098.64 and 288,790.58

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Solution

The fourth proportional to 530,506.22, 732,098.64 and 288,790.58 is: 398,531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,506.22 : 732,098.64 = 288,790.58 : x
  2. Step 2: Convert to fraction form
    530,506.22/732,098.64 = 288,790.58/x
  3. Step 3: Cross multiply
    530,506.22x = 732,098.64 × 288,790.58
  4. Step 4: Simplify right side
    530,506.22x = 211,423,190,862.81
  5. Step 5: Solve for x
    x = 211,423,190,862.81/530,506.22
  6. Step 6: Final answer
    x = 398,531.03

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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.