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Finding the Fourth Proportional to 401,378.18, 602,064.53 and 97,768.71

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Solution

The fourth proportional to 401,378.18, 602,064.53 and 97,768.71 is: 146,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,378.18 : 602,064.53 = 97,768.71 : x
  2. Step 2: Convert to fraction form
    401,378.18/602,064.53 = 97,768.71/x
  3. Step 3: Cross multiply
    401,378.18x = 602,064.53 × 97,768.71
  4. Step 4: Simplify right side
    401,378.18x = 58,863,072,312.65
  5. Step 5: Solve for x
    x = 58,863,072,312.65/401,378.18
  6. Step 6: Final answer
    x = 146,652.40

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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.