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Finding the Fourth Proportional to 470,391.40, 705,345.18 and 154,812.52

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Solution

The fourth proportional to 470,391.40, 705,345.18 and 154,812.52 is: 232,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,391.40 : 705,345.18 = 154,812.52 : x
  2. Step 2: Convert to fraction form
    470,391.40/705,345.18 = 154,812.52/x
  3. Step 3: Cross multiply
    470,391.40x = 705,345.18 × 154,812.52
  4. Step 4: Simplify right side
    470,391.40x = 109,196,264,785.65
  5. Step 5: Solve for x
    x = 109,196,264,785.65/470,391.40
  6. Step 6: Final answer
    x = 232,139.16

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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.