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Finding the Fourth Proportional to 910,146, 1,256,002.02 and 507,738

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Solution

The fourth proportional to 910,146, 1,256,002.02 and 507,738 is: 700,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,146 : 1,256,002.02 = 507,738 : x
  2. Step 2: Convert to fraction form
    910,146/1,256,002.02 = 507,738/x
  3. Step 3: Cross multiply
    910,146x = 1,256,002.02 × 507,738
  4. Step 4: Simplify right side
    910,146x = 637,719,953,630.76
  5. Step 5: Solve for x
    x = 637,719,953,630.76/910,146
  6. Step 6: Final answer
    x = 700,678.74

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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.