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Finding the Fourth Proportional to 564,838.86, 779,449.32 and 319,785.48

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Solution

The fourth proportional to 564,838.86, 779,449.32 and 319,785.48 is: 441,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,838.86 : 779,449.32 = 319,785.48 : x
  2. Step 2: Convert to fraction form
    564,838.86/779,449.32 = 319,785.48/x
  3. Step 3: Cross multiply
    564,838.86x = 779,449.32 × 319,785.48
  4. Step 4: Simplify right side
    564,838.86x = 249,256,574,931.87
  5. Step 5: Solve for x
    x = 249,256,574,931.87/564,838.86
  6. Step 6: Final answer
    x = 441,287.94

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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.