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Finding the Fourth Proportional to 430,486.29, 644,981.40 and 302,130.45

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Solution

The fourth proportional to 430,486.29, 644,981.40 and 302,130.45 is: 452,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,486.29 : 644,981.40 = 302,130.45 : x
  2. Step 2: Convert to fraction form
    430,486.29/644,981.40 = 302,130.45/x
  3. Step 3: Cross multiply
    430,486.29x = 644,981.40 × 302,130.45
  4. Step 4: Simplify right side
    430,486.29x = 194,868,520,623.63
  5. Step 5: Solve for x
    x = 194,868,520,623.63/430,486.29
  6. Step 6: Final answer
    x = 452,670.68

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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.