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Finding the Fourth Proportional to 470,870.64, 649,798.32 and 256,010.64

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Solution

The fourth proportional to 470,870.64, 649,798.32 and 256,010.64 is: 353,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,870.64 : 649,798.32 = 256,010.64 : x
  2. Step 2: Convert to fraction form
    470,870.64/649,798.32 = 256,010.64/x
  3. Step 3: Cross multiply
    470,870.64x = 649,798.32 × 256,010.64
  4. Step 4: Simplify right side
    470,870.64x = 166,355,283,774.13
  5. Step 5: Solve for x
    x = 166,355,283,774.13/470,870.64
  6. Step 6: Final answer
    x = 353,292.96

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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.