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Finding the Fourth Proportional to 435,095.10, 652,642.65 and 257,510.70

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Solution

The fourth proportional to 435,095.10, 652,642.65 and 257,510.70 is: 386,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,095.10 : 652,642.65 = 257,510.70 : x
  2. Step 2: Convert to fraction form
    435,095.10/652,642.65 = 257,510.70/x
  3. Step 3: Cross multiply
    435,095.10x = 652,642.65 × 257,510.70
  4. Step 4: Simplify right side
    435,095.10x = 168,062,465,651.36
  5. Step 5: Solve for x
    x = 168,062,465,651.36/435,095.10
  6. Step 6: Final answer
    x = 386,266.05

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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.