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Finding the Fourth Proportional to 310,502.34, 428,538.60 and 174,547.47

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Solution

The fourth proportional to 310,502.34, 428,538.60 and 174,547.47 is: 240,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,502.34 : 428,538.60 = 174,547.47 : x
  2. Step 2: Convert to fraction form
    310,502.34/428,538.60 = 174,547.47/x
  3. Step 3: Cross multiply
    310,502.34x = 428,538.60 × 174,547.47
  4. Step 4: Simplify right side
    310,502.34x = 74,800,328,427.34
  5. Step 5: Solve for x
    x = 74,800,328,427.34/310,502.34
  6. Step 6: Final answer
    x = 240,901.01

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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.