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Finding the Fourth Proportional to 494,798.40, 742,154.40 and 162,374.40

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Solution

The fourth proportional to 494,798.40, 742,154.40 and 162,374.40 is: 243,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,798.40 : 742,154.40 = 162,374.40 : x
  2. Step 2: Convert to fraction form
    494,798.40/742,154.40 = 162,374.40/x
  3. Step 3: Cross multiply
    494,798.40x = 742,154.40 × 162,374.40
  4. Step 4: Simplify right side
    494,798.40x = 120,506,875,407.36
  5. Step 5: Solve for x
    x = 120,506,875,407.36/494,798.40
  6. Step 6: Final answer
    x = 243,547.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.