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Finding the Fourth Proportional to 610,386.50, 842,343.50 and 338,465.86

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Solution

The fourth proportional to 610,386.50, 842,343.50 and 338,465.86 is: 467,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,386.50 : 842,343.50 = 338,465.86 : x
  2. Step 2: Convert to fraction form
    610,386.50/842,343.50 = 338,465.86/x
  3. Step 3: Cross multiply
    610,386.50x = 842,343.50 × 338,465.86
  4. Step 4: Simplify right side
    610,386.50x = 285,104,515,883.22
  5. Step 5: Solve for x
    x = 285,104,515,883.22/610,386.50
  6. Step 6: Final answer
    x = 467,088.50

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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.