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Finding the Fourth Proportional to 704,802.30, 1,057,203.45 and 406,203.90

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Solution

The fourth proportional to 704,802.30, 1,057,203.45 and 406,203.90 is: 609,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,802.30 : 1,057,203.45 = 406,203.90 : x
  2. Step 2: Convert to fraction form
    704,802.30/1,057,203.45 = 406,203.90/x
  3. Step 3: Cross multiply
    704,802.30x = 1,057,203.45 × 406,203.90
  4. Step 4: Simplify right side
    704,802.30x = 429,440,164,483.46
  5. Step 5: Solve for x
    x = 429,440,164,483.46/704,802.30
  6. Step 6: Final answer
    x = 609,305.85

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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.