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Finding the Fourth Proportional to 585,689.10, 877,531.02 and 319,636.50

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Solution

The fourth proportional to 585,689.10, 877,531.02 and 319,636.50 is: 478,907.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,689.10 : 877,531.02 = 319,636.50 : x
  2. Step 2: Convert to fraction form
    585,689.10/877,531.02 = 319,636.50/x
  3. Step 3: Cross multiply
    585,689.10x = 877,531.02 × 319,636.50
  4. Step 4: Simplify right side
    585,689.10x = 280,490,943,874.23
  5. Step 5: Solve for x
    x = 280,490,943,874.23/585,689.10
  6. Step 6: Final answer
    x = 478,907.57

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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.