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Finding the Fourth Proportional to 551,547.12, 761,200.56 and 309,830.16

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Solution

The fourth proportional to 551,547.12, 761,200.56 and 309,830.16 is: 427,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,547.12 : 761,200.56 = 309,830.16 : x
  2. Step 2: Convert to fraction form
    551,547.12/761,200.56 = 309,830.16/x
  3. Step 3: Cross multiply
    551,547.12x = 761,200.56 × 309,830.16
  4. Step 4: Simplify right side
    551,547.12x = 235,842,891,296.89
  5. Step 5: Solve for x
    x = 235,842,891,296.89/551,547.12
  6. Step 6: Final answer
    x = 427,602.43

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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.