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Finding the Fourth Proportional to 384,748.93, 530,937.06 and 212,658.10

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Solution

The fourth proportional to 384,748.93, 530,937.06 and 212,658.10 is: 293,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,748.93 : 530,937.06 = 212,658.10 : x
  2. Step 2: Convert to fraction form
    384,748.93/530,937.06 = 212,658.10/x
  3. Step 3: Cross multiply
    384,748.93x = 530,937.06 × 212,658.10
  4. Step 4: Simplify right side
    384,748.93x = 112,908,066,399.19
  5. Step 5: Solve for x
    x = 112,908,066,399.19/384,748.93
  6. Step 6: Final answer
    x = 293,459.08

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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.