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Finding the Fourth Proportional to 646,931.18, 970,263.12 and 173,504

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Solution

The fourth proportional to 646,931.18, 970,263.12 and 173,504 is: 260,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,931.18 : 970,263.12 = 173,504 : x
  2. Step 2: Convert to fraction form
    646,931.18/970,263.12 = 173,504/x
  3. Step 3: Cross multiply
    646,931.18x = 970,263.12 × 173,504
  4. Step 4: Simplify right side
    646,931.18x = 168,344,532,372.48
  5. Step 5: Solve for x
    x = 168,344,532,372.48/646,931.18
  6. Step 6: Final answer
    x = 260,220.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.