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Finding the Fourth Proportional to 225,128.16, 310,316.40 and 152,508.96

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Solution

The fourth proportional to 225,128.16, 310,316.40 and 152,508.96 is: 210,218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,128.16 : 310,316.40 = 152,508.96 : x
  2. Step 2: Convert to fraction form
    225,128.16/310,316.40 = 152,508.96/x
  3. Step 3: Cross multiply
    225,128.16x = 310,316.40 × 152,508.96
  4. Step 4: Simplify right side
    225,128.16x = 47,326,031,434.94
  5. Step 5: Solve for x
    x = 47,326,031,434.94/225,128.16
  6. Step 6: Final answer
    x = 210,218.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.