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Finding the Fourth Proportional to 487,038.83, 671,678.39 and 305,767.64

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Solution

The fourth proportional to 487,038.83, 671,678.39 and 305,767.64 is: 421,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,038.83 : 671,678.39 = 305,767.64 : x
  2. Step 2: Convert to fraction form
    487,038.83/671,678.39 = 305,767.64/x
  3. Step 3: Cross multiply
    487,038.83x = 671,678.39 × 305,767.64
  4. Step 4: Simplify right side
    487,038.83x = 205,377,518,592.92
  5. Step 5: Solve for x
    x = 205,377,518,592.92/487,038.83
  6. Step 6: Final answer
    x = 421,686.13

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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.