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Finding the Fourth Proportional to 360,748, 497,830.62 and 207,730.36

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Solution

The fourth proportional to 360,748, 497,830.62 and 207,730.36 is: 286,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,748 : 497,830.62 = 207,730.36 : x
  2. Step 2: Convert to fraction form
    360,748/497,830.62 = 207,730.36/x
  3. Step 3: Cross multiply
    360,748x = 497,830.62 × 207,730.36
  4. Step 4: Simplify right side
    360,748x = 103,414,533,911.62
  5. Step 5: Solve for x
    x = 103,414,533,911.62/360,748
  6. Step 6: Final answer
    x = 286,666.96

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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.