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Finding the Fourth Proportional to 359,329.32, 495,897.12 and 206,415.36

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Solution

The fourth proportional to 359,329.32, 495,897.12 and 206,415.36 is: 284,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,329.32 : 495,897.12 = 206,415.36 : x
  2. Step 2: Convert to fraction form
    359,329.32/495,897.12 = 206,415.36/x
  3. Step 3: Cross multiply
    359,329.32x = 495,897.12 × 206,415.36
  4. Step 4: Simplify right side
    359,329.32x = 102,360,782,547.76
  5. Step 5: Solve for x
    x = 102,360,782,547.76/359,329.32
  6. Step 6: Final answer
    x = 284,866.21

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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.