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Finding the Fourth Proportional to 611,854.47, 917,686.94 and 312,556.23

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Solution

The fourth proportional to 611,854.47, 917,686.94 and 312,556.23 is: 468,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,854.47 : 917,686.94 = 312,556.23 : x
  2. Step 2: Convert to fraction form
    611,854.47/917,686.94 = 312,556.23/x
  3. Step 3: Cross multiply
    611,854.47x = 917,686.94 × 312,556.23
  4. Step 4: Simplify right side
    611,854.47x = 286,828,768,723.86
  5. Step 5: Solve for x
    x = 286,828,768,723.86/611,854.47
  6. Step 6: Final answer
    x = 468,785.93

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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.