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Finding the Fourth Proportional to 409,030.65, 564,739.38 and 256,130.19

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Solution

The fourth proportional to 409,030.65, 564,739.38 and 256,130.19 is: 353,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,030.65 : 564,739.38 = 256,130.19 : x
  2. Step 2: Convert to fraction form
    409,030.65/564,739.38 = 256,130.19/x
  3. Step 3: Cross multiply
    409,030.65x = 564,739.38 × 256,130.19
  4. Step 4: Simplify right side
    409,030.65x = 144,646,804,699.88
  5. Step 5: Solve for x
    x = 144,646,804,699.88/409,030.65
  6. Step 6: Final answer
    x = 353,633.17

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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.