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Finding the Fourth Proportional to 417,445, 576,075.24 and 226,458.40

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Solution

The fourth proportional to 417,445, 576,075.24 and 226,458.40 is: 312,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,445 : 576,075.24 = 226,458.40 : x
  2. Step 2: Convert to fraction form
    417,445/576,075.24 = 226,458.40/x
  3. Step 3: Cross multiply
    417,445x = 576,075.24 × 226,458.40
  4. Step 4: Simplify right side
    417,445x = 130,457,077,130.02
  5. Step 5: Solve for x
    x = 130,457,077,130.02/417,445
  6. Step 6: Final answer
    x = 312,513.21

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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.