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Finding the Fourth Proportional to 440,148, 607,411.60 and 238,944

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Solution

The fourth proportional to 440,148, 607,411.60 and 238,944 is: 329,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,148 : 607,411.60 = 238,944 : x
  2. Step 2: Convert to fraction form
    440,148/607,411.60 = 238,944/x
  3. Step 3: Cross multiply
    440,148x = 607,411.60 × 238,944
  4. Step 4: Simplify right side
    440,148x = 145,137,357,350.40
  5. Step 5: Solve for x
    x = 145,137,357,350.40/440,148
  6. Step 6: Final answer
    x = 329,746.72

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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.