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Finding the Fourth Proportional to 421,151.64, 631,547.64 and 243,781.08

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Solution

The fourth proportional to 421,151.64, 631,547.64 and 243,781.08 is: 365,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,151.64 : 631,547.64 = 243,781.08 : x
  2. Step 2: Convert to fraction form
    421,151.64/631,547.64 = 243,781.08/x
  3. Step 3: Cross multiply
    421,151.64x = 631,547.64 × 243,781.08
  4. Step 4: Simplify right side
    421,151.64x = 153,959,365,750.65
  5. Step 5: Solve for x
    x = 153,959,365,750.65/421,151.64
  6. Step 6: Final answer
    x = 365,567.53

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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.