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Finding the Fourth Proportional to 307,728.90, 461,547.18 and 97,339.50

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Solution

The fourth proportional to 307,728.90, 461,547.18 and 97,339.50 is: 145,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,728.90 : 461,547.18 = 97,339.50 : x
  2. Step 2: Convert to fraction form
    307,728.90/461,547.18 = 97,339.50/x
  3. Step 3: Cross multiply
    307,728.90x = 461,547.18 × 97,339.50
  4. Step 4: Simplify right side
    307,728.90x = 44,926,771,727.61
  5. Step 5: Solve for x
    x = 44,926,771,727.61/307,728.90
  6. Step 6: Final answer
    x = 145,994.65

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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.