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Finding the Fourth Proportional to 470,287.28, 648,998.30 and 255,430.93

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Solution

The fourth proportional to 470,287.28, 648,998.30 and 255,430.93 is: 352,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,287.28 : 648,998.30 = 255,430.93 : x
  2. Step 2: Convert to fraction form
    470,287.28/648,998.30 = 255,430.93/x
  3. Step 3: Cross multiply
    470,287.28x = 648,998.30 × 255,430.93
  4. Step 4: Simplify right side
    470,287.28x = 165,774,239,337.42
  5. Step 5: Solve for x
    x = 165,774,239,337.42/470,287.28
  6. Step 6: Final answer
    x = 352,495.69

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1.5x scale

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.