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Finding the Fourth Proportional to 1,552,296, 2,328,444 and 430,365

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Solution

The fourth proportional to 1,552,296, 2,328,444 and 430,365 is: 645,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552,296 : 2,328,444 = 430,365 : x
  2. Step 2: Convert to fraction form
    1,552,296/2,328,444 = 430,365/x
  3. Step 3: Cross multiply
    1,552,296x = 2,328,444 × 430,365
  4. Step 4: Simplify right side
    1,552,296x = 1,002,080,802,060
  5. Step 5: Solve for x
    x = 1,002,080,802,060/1,552,296
  6. Step 6: Final answer
    x = 645,547.50

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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.