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Finding the Fourth Proportional to 464,052, 640,700.64 and 356,430

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Solution

The fourth proportional to 464,052, 640,700.64 and 356,430 is: 492,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,052 : 640,700.64 = 356,430 : x
  2. Step 2: Convert to fraction form
    464,052/640,700.64 = 356,430/x
  3. Step 3: Cross multiply
    464,052x = 640,700.64 × 356,430
  4. Step 4: Simplify right side
    464,052x = 228,364,929,115.20
  5. Step 5: Solve for x
    x = 228,364,929,115.20/464,052
  6. Step 6: Final answer
    x = 492,110.65

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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.