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Finding the Fourth Proportional to 495,784.80, 742,802.40 and 406,555.20

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Solution

The fourth proportional to 495,784.80, 742,802.40 and 406,555.20 is: 609,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,784.80 : 742,802.40 = 406,555.20 : x
  2. Step 2: Convert to fraction form
    495,784.80/742,802.40 = 406,555.20/x
  3. Step 3: Cross multiply
    495,784.80x = 742,802.40 × 406,555.20
  4. Step 4: Simplify right side
    495,784.80x = 301,990,178,292.48
  5. Step 5: Solve for x
    x = 301,990,178,292.48/495,784.80
  6. Step 6: Final answer
    x = 609,115.44

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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.