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Finding the Fourth Proportional to 438,428.90, 657,643.35 and 349,855.40

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Solution

The fourth proportional to 438,428.90, 657,643.35 and 349,855.40 is: 524,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,428.90 : 657,643.35 = 349,855.40 : x
  2. Step 2: Convert to fraction form
    438,428.90/657,643.35 = 349,855.40/x
  3. Step 3: Cross multiply
    438,428.90x = 657,643.35 × 349,855.40
  4. Step 4: Simplify right side
    438,428.90x = 230,080,077,271.59
  5. Step 5: Solve for x
    x = 230,080,077,271.59/438,428.90
  6. Step 6: Final answer
    x = 524,783.10

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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.