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Finding the Fourth Proportional to 503,784.18, 695,360.97 and 342,908.46

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Solution

The fourth proportional to 503,784.18, 695,360.97 and 342,908.46 is: 473,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,784.18 : 695,360.97 = 342,908.46 : x
  2. Step 2: Convert to fraction form
    503,784.18/695,360.97 = 342,908.46/x
  3. Step 3: Cross multiply
    503,784.18x = 695,360.97 × 342,908.46
  4. Step 4: Simplify right side
    503,784.18x = 238,445,159,366.81
  5. Step 5: Solve for x
    x = 238,445,159,366.81/503,784.18
  6. Step 6: Final answer
    x = 473,308.15

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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.