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Finding the Fourth Proportional to 346,461.14, 478,262.14 and 210,538.76

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Solution

The fourth proportional to 346,461.14, 478,262.14 and 210,538.76 is: 290,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,461.14 : 478,262.14 = 210,538.76 : x
  2. Step 2: Convert to fraction form
    346,461.14/478,262.14 = 210,538.76/x
  3. Step 3: Cross multiply
    346,461.14x = 478,262.14 × 210,538.76
  4. Step 4: Simplify right side
    346,461.14x = 100,692,714,992.89
  5. Step 5: Solve for x
    x = 100,692,714,992.89/346,461.14
  6. Step 6: Final answer
    x = 290,632.06

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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.