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Finding the Fourth Proportional to 530,707, 732,360.90 and 288,984.28

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Solution

The fourth proportional to 530,707, 732,360.90 and 288,984.28 is: 398,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,707 : 732,360.90 = 288,984.28 : x
  2. Step 2: Convert to fraction form
    530,707/732,360.90 = 288,984.28/x
  3. Step 3: Cross multiply
    530,707x = 732,360.90 × 288,984.28
  4. Step 4: Simplify right side
    530,707x = 211,640,787,386.65
  5. Step 5: Solve for x
    x = 211,640,787,386.65/530,707
  6. Step 6: Final answer
    x = 398,790.27

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1.5x scale

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.