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Finding the Fourth Proportional to 785,904, 1,084,547.58 and 428,208

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Solution

The fourth proportional to 785,904, 1,084,547.58 and 428,208 is: 590,927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,904 : 1,084,547.58 = 428,208 : x
  2. Step 2: Convert to fraction form
    785,904/1,084,547.58 = 428,208/x
  3. Step 3: Cross multiply
    785,904x = 1,084,547.58 × 428,208
  4. Step 4: Simplify right side
    785,904x = 464,411,950,136.64
  5. Step 5: Solve for x
    x = 464,411,950,136.64/785,904
  6. Step 6: Final answer
    x = 590,927.07

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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.