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Finding the Fourth Proportional to 407,827.88, 611,603.10 and 155,047.40

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Solution

The fourth proportional to 407,827.88, 611,603.10 and 155,047.40 is: 232,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,827.88 : 611,603.10 = 155,047.40 : x
  2. Step 2: Convert to fraction form
    407,827.88/611,603.10 = 155,047.40/x
  3. Step 3: Cross multiply
    407,827.88x = 611,603.10 × 155,047.40
  4. Step 4: Simplify right side
    407,827.88x = 94,827,470,486.94
  5. Step 5: Solve for x
    x = 94,827,470,486.94/407,827.88
  6. Step 6: Final answer
    x = 232,518.36

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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.