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Finding the Fourth Proportional to 302,709.93, 417,656.59 and 210,726.17

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Solution

The fourth proportional to 302,709.93, 417,656.59 and 210,726.17 is: 290,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,709.93 : 417,656.59 = 210,726.17 : x
  2. Step 2: Convert to fraction form
    302,709.93/417,656.59 = 210,726.17/x
  3. Step 3: Cross multiply
    302,709.93x = 417,656.59 × 210,726.17
  4. Step 4: Simplify right side
    302,709.93x = 88,011,172,537.07
  5. Step 5: Solve for x
    x = 88,011,172,537.07/302,709.93
  6. Step 6: Final answer
    x = 290,744.26

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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.