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Finding the Fourth Proportional to 282,880.98, 390,386.34 and 169,681.86

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Solution

The fourth proportional to 282,880.98, 390,386.34 and 169,681.86 is: 234,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,880.98 : 390,386.34 = 169,681.86 : x
  2. Step 2: Convert to fraction form
    282,880.98/390,386.34 = 169,681.86/x
  3. Step 3: Cross multiply
    282,880.98x = 390,386.34 × 169,681.86
  4. Step 4: Simplify right side
    282,880.98x = 66,241,480,289.79
  5. Step 5: Solve for x
    x = 66,241,480,289.79/282,880.98
  6. Step 6: Final answer
    x = 234,167.32

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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.